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Finding the Fourth Proportional to 327.84, 491.04 and 280.32

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Solution

The fourth proportional to 327.84, 491.04 and 280.32 is: 419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.84 : 491.04 = 280.32 : x
  2. Step 2: Convert to fraction form
    327.84/491.04 = 280.32/x
  3. Step 3: Cross multiply
    327.84x = 491.04 × 280.32
  4. Step 4: Simplify right side
    327.84x = 137,648.33
  5. Step 5: Solve for x
    x = 137,648.33/327.84
  6. Step 6: Final answer
    x = 419.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.